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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 596 · 40 questions
TalentJR

How to solve it (Look at the gaps): Look at two numbers side by side and find the jump: 5 → 10 is a jump of +5. Is the jump the same every time? Then add the same jump once more to the last number. Going down? Take away the same jump. Harder patterns: the jump can grow (+2, +3, +4 …) or the numbers can double (2, 4, 8, 16 …).

NameDateTime takenScore ___ / 40
  1. 1.What comes next? 1, 2, 4, 8, 16, ? (a) 33 (b) 40 (c) 32 (d) 24
  2. 2.What comes next? 18, 21, 25, 30, 36, ? (a) 45 (b) 42 (c) 43 (d) 44
  3. 3.What comes next? 16, 27, 38, 49, 60, ? (a) 71 (b) 82 (c) 72 (d) 70
  4. 4.What comes next? 7, 11, 16, 22, 29, ? (a) 39 (b) 38 (c) 37 (d) 36
  5. 5.What comes next? 25, 29, 33, 37, 41, ? (a) 49 (b) 46 (c) 44 (d) 45
  6. 6.What comes next? 5, 11, 10, 16, 15, 21, ? (a) 19 (b) 27 (c) 22 (d) 20
  7. 7.What comes next? 65, 56, 47, 38, 29, ? (a) 19 (b) 11 (c) 20 (d) 21
  8. 8.What comes next? 38, 36, 34, 32, 30, ? (a) 27 (b) 28 (c) 29 (d) 26
  9. 9.What comes next? 7, 10, 9, 12, 11, 14, ? (a) 15 (b) 17 (c) 13 (d) 12
  10. 10.What comes next? 35, 32, 29, 26, 23, ? (a) 21 (b) 20 (c) 19 (d) 17
  11. 11.What comes next? 12, 10, 8, 6, 4, ? (a) 2 (b) 3 (c) 4 (d) 1
  12. 12.What comes next? 4, 8, 16, 32, 64, ? (a) 128 (b) 96 (c) 129 (d) 160
  13. 13.What comes next? 38, 31, 24, 17, 10, ? (a) 4 (b) 3 (c) 2 (d) 5
  14. 14.What comes next? 53, 48, 43, 38, 33, ? (a) 29 (b) 28 (c) 27 (d) 23
  15. 15.What comes next? 16, 25, 34, 43, 52, ? (a) 62 (b) 60 (c) 70 (d) 61
  16. 16.What comes next? 5, 17, 29, 41, 53, ? (a) 66 (b) 77 (c) 64 (d) 65
  17. 17.What comes next? 6, 14, 8, 16, 10, 18, ? (a) 24 (b) 11 (c) 12 (d) 26
  18. 18.What comes next? 10, 16, 15, 21, 20, 26, ? (a) 32 (b) 24 (c) 27 (d) 25
  19. 19.What comes next? 12, 17, 14, 19, 16, 21, ? (a) 24 (b) 17 (c) 26 (d) 18
  20. 20.What comes next? 17, 20, 24, 29, 35, ? (a) 43 (b) 44 (c) 41 (d) 42
  21. 21.What comes next? 9, 19, 29, 39, 49, ? (a) 59 (b) 60 (c) 58 (d) 69
  22. 22.What comes next? 39, 35, 31, 27, 23, ? (a) 15 (b) 20 (c) 18 (d) 19
  23. 23.What comes next? 11, 15, 20, 26, 33, ? (a) 43 (b) 41 (c) 42 (d) 40
  24. 24.What comes next? 17, 19, 21, 23, 25, ? (a) 28 (b) 27 (c) 26 (d) 29
  25. 25.What comes next? 44, 40, 36, 32, 28, ? (a) 23 (b) 24 (c) 25 (d) 20
  26. 26.What comes next? 31, 28, 25, 22, 19, ? (a) 17 (b) 15 (c) 16 (d) 13
  27. 27.What comes next? 65, 57, 49, 41, 33, ? (a) 17 (b) 26 (c) 24 (d) 25
  28. 28.What comes next? 2, 4, 8, 16, 32, ? (a) 64 (b) 80 (c) 48 (d) 65
  29. 29.What comes next? 15, 16, 18, 21, 25, ? (a) 32 (b) 29 (c) 30 (d) 31
  30. 30.What comes next? 26, 22, 18, 14, 10, ? (a) 5 (b) 7 (c) 6 (d) 2
  31. 31.What comes next? 5, 10, 20, 40, 80, ? (a) 200 (b) 161 (c) 160 (d) 120
  32. 32.What comes next? 19, 22, 21, 24, 23, 26, ? (a) 29 (b) 24 (c) 27 (d) 25
  33. 33.What comes next? 2, 10, 18, 26, 34, ? (a) 42 (b) 43 (c) 50 (d) 41
  34. 34.What comes next? 12, 16, 20, 24, 28, ? (a) 31 (b) 36 (c) 32 (d) 33
  35. 35.What comes next? 43, 40, 37, 34, 31, ? (a) 25 (b) 27 (c) 29 (d) 28
  36. 36.What comes next? 18, 27, 21, 30, 24, 33, ? (a) 26 (b) 27 (c) 39 (d) 42
  37. 37.What comes next? 40, 38, 36, 34, 32, ? (a) 29 (b) 30 (c) 28 (d) 31
  38. 38.What comes next? 6, 12, 24, 48, 96, ? (a) 192 (b) 193 (c) 144 (d) 240
  39. 39.What comes next? 8, 11, 10, 13, 12, 15, ? (a) 13 (b) 14 (c) 18 (d) 16
  40. 40.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 81 (c) 90 (d) 72

Answer key

  1. 32
  2. 43
  3. 71
  4. 37
  5. 45
  6. 20
  7. 20
  8. 28
  9. 13
  10. 20
  11. 2
  12. 128
  13. 3
  14. 28
  15. 61
  16. 65
  17. 12
  18. 25
  19. 18
  20. 42
  21. 59
  22. 19
  23. 41
  24. 27
  25. 24
  26. 16
  27. 25
  28. 64
  29. 30
  30. 6
  31. 160
  32. 25
  33. 42
  34. 32
  35. 28
  36. 27
  37. 30
  38. 192
  39. 14
  40. 81

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